Least Common Multiple of 60/284, 7162/5220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/284, 7162/5220 quickly i.e. 53715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/284, 7162/5220 is 53715.

LCM(60/284, 7162/5220) = 53715

LCM of 60/284, 7162/5220

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 60/284,7162/5220

Given numbers are 60/284,7162/5220

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 60,7162

Least Common Multiple of Numerators i.e. LCM of 60,7162 is 214860.

GCF of Denominators means GCF of 284,5220 as per the given fractions.

GCF of 284,5220 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,7162

LCM of Fractions 60/284,7162/5220 is 53715

2 60, 7162
30, 3581

∴ So the LCM of the given numbers is 2 x 30 x 3581 = 214860

Least Common Multiple of 60,7162 with GCF Formula

Least Common Multiple of 60,7162 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 60,7162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,7162) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(60,7162) x common factors =2 x 1 = 2

LCM(60,7162) = ( 60 × 7162 ) / 2

LCM(60,7162) = 429720 / 2

LCM(60,7162) = 214860


Lets's calculate GCF of 284,5220

2 284, 5220
2 142, 2610
71, 1305

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214860/4

Therefore the LCM of Fractions 60/284,7162/5220 is 53715

Greatest Common Factor of 284,5220 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,5220 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220

Greatest Common Factor

We found the factors 284,5220 . The biggest common factor number is the GCF number.
So the greatest common factor 284,5220 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 60/284, 7162/5220

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 60/284, 7162/5220?

Answer: LCM of Numerators as per given numbers 60/284, 7162/5220 is

LCM of Numerators i.e. for 60,7162 is 214860

GCF of denominators i.e. for 284,5220 is 4.

Thus, LCM of Fractions is 53715.Finally, LCM of Fractions for 60/284, 7162/5220 is 53715.